Wyoming wasn’t the first state to allow women to vote for President. At the very least women could vote in New Jersey as early as 1790, presuming they had the equivalent of 50 British pounds of wealth (because the wealth requirement was the only requirement). Women later lost the right to vote in New Jersey when New Jersey embraced Jacksonian democracy and extended the right to vote to all white men of age, regardless of wealth.

But again, women’s right to vote was a state issue prior to the 19th Amendment and as such it was kinda all over the place with some states allowing women to vote but only in some elections (often different rules for municipal, county, state and federal elections).